MATH 21A Study Guide - Final Guide: Ellipse, Unit Circle, Maxima And Minima
Document Summary
Answers which are illegible for the grader cannot be given credit: show your work. Except for problems 1-3, we need to see details of your computation: no notes, books, calculators, computers, or other electronic aids can be allowed, you have 180 minutes time to complete your work. The projection vector proj~v( ~w) is parallel to ~w. Any parametrized surface s is a graph of a function f (x, y). If the directional derivatives d~v(f )(1, 1) and d ~w(f )(1, 1) are both 0 for. ~v = h1, 1i/ 2 and ~w = h1, 1i/ 2, then (1, 1) is a critical point. ~f d~r is either equal to 2 or 2 . The linearization l(x, y) of f (x, y) = x + y + 4 at (0, 0) satis es l(x, y) = f (x, y). For any function f (x, y) of two variables, the line integral of the vector eld.
